1127564256 has 192 divisors, whose sum is σ = 3663249408. Its totient is φ = 295723008.

The previous prime is 1127564231. The next prime is 1127564257. The reversal of 1127564256 is 6524657211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127564257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2943841 + ... + 2944223.

It is an arithmetic number, because the mean of its divisors is an integer number (19079424).

Almost surely, 2^1127564256 is an apocalyptic number.

1127564256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127564256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831624704).

1127564256 is an abundant number, since it is smaller than the sum of its proper divisors (2535685152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1127564256 is a wasteful number, since it uses less digits than its factorization.

1127564256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 745 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 1127564256 is about 33579.2235764915. The cubic root of 1127564256 is about 1040.8315144866.

The spelling of 1127564256 in words is "one billion, one hundred twenty-seven million, five hundred sixty-four thousand, two hundred fifty-six".